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   "source": [
    "# Prime circles\n",
    "\n",
    "Concentric circles separated in prime numbers of segments.\n",
    "\n",
    "Inspired by [this tweet](https://twitter.com/Aldernero/status/1290063978719141888)"
   ]
  },
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   ],
   "source": [
    "import math\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import vsketch\n",
    "\n",
    "N = 100\n",
    "RANDOM_PHASE = False\n",
    "\n",
    "\n",
    "def get_primes(n):\n",
    "    numbers = set(range(n, 1, -1))\n",
    "    primes = []\n",
    "    while numbers:\n",
    "        p = numbers.pop()\n",
    "        primes.append(p)\n",
    "        numbers.difference_update(set(range(p * 2, n + 1, p)))\n",
    "    return primes\n",
    "\n",
    "\n",
    "vsk = vsketch.Vsketch()\n",
    "vsk.size(\"10in\", \"10in\")\n",
    "vsk.scale(\"3mm\")\n",
    "\n",
    "for i, prime in enumerate(get_primes(N)):\n",
    "    vsk.circle(0, 0, 2 * (i + 1))\n",
    "\n",
    "    if RANDOM_PHASE:\n",
    "        phase = np.random.random() * 2 * math.pi\n",
    "    else:\n",
    "        phase = -math.pi / 2\n",
    "\n",
    "    for angle in np.linspace(0, 2 * math.pi, prime, endpoint=False):\n",
    "        vsk.line(\n",
    "            (i + 1) * math.cos(angle + phase),\n",
    "            (i + 1) * math.sin(angle + phase),\n",
    "            (i + 2) * math.cos(angle + phase),\n",
    "            (i + 2) * math.sin(angle + phase),\n",
    "        )\n",
    "\n",
    "vsk.circle(0, 0, 2 * (i + 2))\n",
    "vsk.vpype(\"linemerge linesort\")\n",
    "\n",
    "\n",
    "vsk.display()\n",
    "vsk.save(\"prime_circles.svg\")"
   ]
  }
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